Benvenuti!

I am a CNRS researcher at ENS Lyon. My main interests are kinetic theory, statistical mechanics and stochastic analysis, with special enthusiasm on topics where a combination of those succeeds.

 

PUBLICATIONS

Research

  • with M. Porta: Borel Summability of φ44 Planar Theory via Multiscale Analysis. Rev. Math. Phys. 22(9), 995-1032 (2010). Link

  • with G. Genovese: On the Stationary BBGKY Hierarchy for Equilibrium States. J. Stat. Phys. 148(1), 89-112 (2012). Link

  • with M. Pulvirenti and C. Saffirio: On the validity of the Boltzmann equation for short range potentials. Rev. Math. Phys. 26(2), 1-64 (2014). Link

  • Evolution of Correlation Functions in the Hard Sphere Dynamics. J. Stat. Phys. 155(6), 1191-1221 (2014). Link

  • with K. Aoki, M. Pulvirenti and T. Tsuji: Backward clusters, hierarchy and wild sums for a hard sphere system in a low-density regime. Math. Mod. and Meth. in App. Sci. 25(5), 995-1010 (2015). Link

  • with M. Pulvirenti: On the evolution of the empirical measure for the Hard-Sphere dynamics. Bull. Inst. Math. Acad. Sinica 10(2), 171-204 (2015). Link

  • with R.I.A. Patterson and W. Wagner: Kinetic theory of cluster dynamics. Phys. D: Nonlin. Phen. 335, 26-32 (2016). Link

  • with M. Pulvirenti: The Boltzmann-Grad limit of a hard sphere system: analysis of the correlation error. Invent. Math. 207(3), 1135-1237 (2017). Link

  • with T. Bodineau, I. Gallagher and L. Saint-Raymond: One-sided convergence in the Boltzmann-Grad limit. Ann. fac. sci. Toulouse Math. Ser. 6, 27(5), 985-1022 (2018). Link

  • with R.I.A. Patterson and W. Wagner: A Kinetic Equation for the Distribution of Interaction Clusters in Rarefied Gases. J. Stat. Phys. 169(1), 126-167 (2017). Link

  • with A. Nota and J. J. L. Velázquez: On the theory of Lorentz gases with long range interactions. Rev. Math. Phys. 30(3) (2018). Link

  • with M. Pulvirenti and A. Trushechkin: Microscopic solutions of the Boltzmann-Enskog equation in the series representation. Kinetic and Rel. Mod. 11(4), 911-931 (2018). Link

  • with T. Paul and M. Pulvirenti: On the Size of Chaos in the Mean Field Dynamics. Arch. Rational Mech. Anal. 231(1), 285-317 (2019). Link

  • with T. Bodineau, I. Gallagher and L. Saint-Raymond: Fluctuation Theory in the Boltzmann-Grad limit. J. Stat. Phys. 180, 873-895 (2020). Link

  • with M. Pulvirenti: A kinetic model for epidemic spread. Math. and Mech. of Complex Syst. 8(3), 249-260 (2020). Link

  • with M. Pulvirenti: On the cardinality of collisional clusters for hard spheres at low density. Disc. & Cont. Dyn. Syst. 41(8), 3903-3914 (2021). Link

  • with A. Nota and C. Saffirio: Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit. Ann. Inst. H. Poincaré Probab. Statist. 58(2), 1228-1243 (2022). Link

  • with A. Ciallella and M. Pulvirenti: Inhomogeneities in Boltzmann-SIR models. Math. and Mech. of Complex Syst. 9(3), 273-292 (2021). Link

  • with A. Ciallella and M. Pulvirenti: Kinetic SIR equations and particle limits. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32(2), 295-315 (2021). Link

  • with T. Bodineau, I. Gallagher and L. Saint-Raymond: Long-Time Correlations for a Hard-Sphere Gas at Equilibrium. Comm. Pure Appl. Math., to appear. Link

  • with A. Ciallella and M. Pulvirenti: Propagation of Chaos for a Stochastic Particle System Modelling Epidemics. In Giorgio, Placidi, Barchiesi, Abali, Altenbach (eds) Theoretical Analyses, Computations, and Experiments of Multiscale Materials, Advanced Structured Materials 175 Ch. 5, Springer (2022). Link

  • with T. Bodineau, I. Gallagher and L. Saint-Raymond: Cluster expansion for a dilute hard sphere gas dynamics. J. Math. Phys. 63 (2022). Link

Surveys

  • with H. Spohn. Review: “From Newton to Boltzmann: hard spheres and short-range potentials” by I. Gallagher, L. Saint-Raymond and B. Texier. Bull. Amer. Math. Soc. 52, 533-538 (2015). Link

  • with M. Pulvirenti: Propagation of chaos and effective equations in kinetic theory: a brief survey. Math. and Mech. of Complex Syst., 4(3), 255-274 (2016). Link

  • with M. Pulvirenti: A Brief Introduction to the Scaling Limits and Effective Equations in Kinetic Theory. In Albi, Merino-Aceituno, Nota and Zanella (eds), Trails in Kinetic Theory, SEMA SIMAI Springer Series 25, 183-208 (2021). Link 

  • with T. Bodineau, I. Gallagher and L. Saint-Raymond: Dynamics of dilute gases: a statistical approach. Proceedings of the ICM (2022). Link

Edited

  • with D. Cadamuro, M. Duell, W. Dybalski: Macroscopic Limits of Quantum Systems. Springer Proc. Math. Stat. 270 (2018). Link

Preprints

  • with T. Bodineau, I. Gallagher and L. Saint-Raymond: Statistical dynamics of a hard sphere gas: fluctuating Boltzmann equation and large deviations. arXiv:2008.10403

  • with A. Di Stefano and R. Winter: Pointwise decay of truncated correlations in chaotic states at low density. arXiv:2012.01246

  • with T. Bodineau, I. Gallagher and L. Saint-Raymond: Long-time derivation at equilibrium of the fluctuating Boltzmann equation. arXiv:2201.04514

HOSTS

Dipartimento di Fisica, Sapienza Università di Roma
(Laurea, 09/2008)

Dipartimento di Matematica, Sapienza Università di Roma
(PhD, 12/2011, Link to thesis; postdoc 2012)

Zentrum Mathematik, Technische Universität München
(INdAM-Curie Fellow, 12/2012 – 11/2014)

Weierstrass Institute for Applied Analysis and Stochastics, Berlin
(postdoc, 12/2014 – 05/2015)

Zentrum Mathematik, Technische Universität München
(DFG project, 06/2015 – 01/2018)

Unité de Mathématiques Pures et Appliquées, Ecole Normale Supérieure Lyon (CNRS researcher, 02/2018 – now)

 

 

UMPA, ENS Lyon
46 allée d’Italie
69364 Lyon Cedex 07
France

Office: M7.402

sergio.simonella@ens-lyon.fr
+33 (0)4 26731497

 jpg piccolo per web

 

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